Genus 2 curve search results

Results (unique match)

 

Label	Class	Conductor	Discriminant	Rank*	2-Selmer rank	Torsion	$\textrm{End}^0(J_{\overline\Q})$	$\textrm{End}^0(J)$	$\GL_2\textsf{-type}$	Sato-Tate	Nonmaximal primes	$\Q$-simple	\(\overline{\Q}\)-simple	\(\Aut(X)\)	\(\Aut(X_{\overline{\Q}})\)	$\Q$-points	$\Q$-Weierstrass points	mod-$\ell$ images	Locally solvable	Square Ш*	Analytic Ш*	Tamagawa	Regulator	Real period	Leading coefficient	Igusa-Clebsch invariants	Igusa invariants	G2-invariants	Equation
65280.e.130560.1	65280.e	\( 2^{8} \cdot 3 \cdot 5 \cdot 17 \)	\( 2^{9} \cdot 3 \cdot 5 \cdot 17 \)	$0$	$4$	$\Z/2\Z\oplus\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$0$	$0$	2.90.6	✓	✓	$36$	\( 2 \)	\(1.000000\)	\(0.917392\)	\(4.128265\)	$[14918,13717618,51277691208,510]$	$[29836,510806,8752420,53608371,130560]$	$[46177777988075362598/255,105990713496087337/1020,24347779975901/408]$	$y^2 + y = -28x^6 - 86x^5 - 57x^4 + 45x^3 + 49x^2 - x - 7$